Pith Number

pith:KZHSOSSD

pith:2019:KZHSOSSDCACAD6KEVKT55DKB6M

not attested not anchored not stored refs pending

Bounded geometry and $p$-harmonic functions under uniformization and hyperbolization

Anders Bjorn, Jana Bjorn, Nageswari Shanmugalingam

arxiv:1908.04644 v1 · 2019-08-13 · math.MG · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KZHSOSSDCACAD6KEVKT55DKB6M}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T02:41:59.761675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

564f274a43100401f944aaa7de8d41f30274ed345ac57fd64c5f1156df73dea9

Aliases

arxiv: 1908.04644 · arxiv_version: 1908.04644v1 · doi: 10.48550/arxiv.1908.04644 · pith_short_12: KZHSOSSDCACA · pith_short_16: KZHSOSSDCACAD6KE · pith_short_8: KZHSOSSD

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KZHSOSSDCACAD6KEVKT55DKB6M \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 564f274a43100401f944aaa7de8d41f30274ed345ac57fd64c5f1156df73dea9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "affa7624dc7508ec2c0484efba065f81e00e155a3d801803035108976dc4100b",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-08-13T13:53:14Z",
    "title_canon_sha256": "73c59581ea20e90fbd9fa18b2da37cebc216dd90085c20d4cf874f4e1c4b88c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04644",
    "kind": "arxiv",
    "version": 1
  }
}